Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers

Authors:
AyşEgüL GöKhan;Mikail Et;Mohammad Mursaleen
Affiliations:
Department ofMathematics, Firat University, 23119, Elazığ, Turkey;Department ofMathematics, Firat University, 23119, Elazığ, Turkey;Department ofMathematics, Aligarh Muslim University, Aligarh 202002, India
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

Citing 4
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Abstract

The purpose of this paper is to introduce the concepts of almost lacunary statistical convergence and strongly almost lacunary convergence of sequences of fuzzy numbers. We give some relations related to these concepts. We establish some connections between strongly almost lacunary convergence and almost lacunary statistical convergence of sequences of fuzzy numbers. It is also shown that if a sequence of fuzzy numbers is strongly almost lacunary convergent with respect to an Orlicz function then it is almost lacunary statistical convergent.